Particular Solution to a Differential Equation

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What is the particular solution to the differential equation $\frac{dy}{dx} = \frac{1}{y}$ with the initial condition $y(1) = 2$ ?

$y = \frac{1}{2x}$

$y = 2x$

$y = x^2 + 2$

$y = \sqrt{2x}$

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